SOLUTION: How do I Complete the Square? {{{3x^2 + 7x=4}}} Thank you so much :)

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: How do I Complete the Square? {{{3x^2 + 7x=4}}} Thank you so much :)      Log On


   



Question 1043194: How do I Complete the Square?
3x%5E2+%2B+7x=4
Thank you so much :)

Found 2 solutions by stanbon, MathTherapy:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Complete the Square?
3x^2 + 7x=
------------
3(x^2+(7/3)x = 4
-----
3(x^2 + (7/3)x + (7/6)^2)) = 4 + 3(7/6)^2
-----
3(x+(7/6))^2 = [144 + 147]/36
--------
3(x+(7/6))^2 = 291/36
------
3(x+(7/6))^2 = 8.0833...
-----------
Cheers,
Stan H.
---------------

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

How do I Complete the Square?
3x%5E2+%2B+7x=4
Thank you so much :)
3x%5E2+%2B+7x+=+4
3x%5E2%2F3+%2B+7x%2F3+=+4%2F3 ------- Dividing each expression by 3 to make the leading coefficient 1
x%5E2+%2B+%287%2F3%29x+=+4%2F3
------ Taking 1%2F2 of "b," squaring it, and then adding it to both sides
x%5E2+%2B+%287%2F3%29x+%2B+%287%2F6%29%5E2+=+4%2F3+%2B+%287%2F6%29%5E2
%28x+%2B+7%2F6%29%5E2+=+4%2F3+%2B+49%2F36
%28x+%2B+7%2F6%29%5E2+=+48%2F36+%2B+49%2F36
%28x+%2B+7%2F6%29%5E2+=+97%2F36
sqrt%28%28x+%2B+7%2F6%29%5E2%29+=+%22%22%2B-+sqrt%2897%2F36%29 ------ Taking the square root of both sides
x+%2B+7%2F6+=+%22%22%2B-+sqrt%2897%29%2F6